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Finding the Fourth Proportional to 5,734.52, 8,601.74 and 1,630.52

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Solution

The fourth proportional to 5,734.52, 8,601.74 and 1,630.52 is: 2,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.52 : 8,601.74 = 1,630.52 : x
  2. Step 2: Convert to fraction form
    5,734.52/8,601.74 = 1,630.52/x
  3. Step 3: Cross multiply
    5,734.52x = 8,601.74 × 1,630.52
  4. Step 4: Simplify right side
    5,734.52x = 14,025,309.10
  5. Step 5: Solve for x
    x = 14,025,309.10/5,734.52
  6. Step 6: Final answer
    x = 2,445.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.